Search a number
-
+
2197504 = 2112937
BaseRepresentation
bin1000011000100000000000
311010122102001
420120200000
51030310004
6115033344
724451501
oct10304000
94118361
102197504
111271021
1289b854
135bc2ca
14412ba8
152d61a4
hex218800

2197504 has 48 divisors (see below), whose sum is σ = 4668300. Its totient is φ = 1032192.

The previous prime is 2197501. The next prime is 2197513. The reversal of 2197504 is 4057912.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 123904 = 1440^2 + 352^2 .

It is not an unprimeable number, because it can be changed into a prime (2197501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59374 + ... + 59410.

22197504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334150).

2197504 is an abundant number, since it is smaller than the sum of its proper divisors (2470796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2197504 is an equidigital number, since it uses as much as digits as its factorization.

2197504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2197504 is about 1482.3980572033. The cubic root of 2197504 is about 130.0099400683.

It can be divided in two parts, 2197 and 504, that added together give a triangular number (2701 = T73).

The spelling of 2197504 in words is "two million, one hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 256 296 464 512 592 928 1024 1073 1184 1856 2048 2146 2368 3712 4292 4736 7424 8584 9472 14848 17168 18944 29696 34336 37888 59392 68672 75776 137344 274688 549376 1098752 2197504